2. Functions and Graphs

Function Transformations — Quiz

Test your understanding of function transformations with 5 practice questions.

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Practice Questions

Question 1

If the graph of $y = f(x)$ is transformed to $y = f(x) - 6$, what type of transformation has occurred?

Question 2

What is the effect of the transformation $y = f(x + 5)$ on the graph of $y = f(x)$?

Question 3

If the graph of $y = f(x)$ is transformed to $y = 3f(x)$, what type of transformation has occurred?

Question 4

Which equation represents a horizontal compression of $y = f(x)$ by a factor of $2$?

Question 5

What is the combined effect of transforming $y = x^2$ to $y = -(x - 4)^2 + 2$?